在SU(2)模型中费密子的质量与Rubakov效应

在自发破缺的具有Higgs三重态的SU(2)规范理论中,讨论了同位旋1/2的费密子的质量对费密子-磁单极束缚态的影响。结果表明,当费密子与Higgs场之间的直接耦合趋于零,但狄拉克质量保持固定时,费密子-磁单极束缚态的必要条件必不被满足。这个结果意味着对于SU(2)模型由于狄拉克质量效应,Rubakov效应不存在。 关键词：     

AN SU(3) SYMMETRY IN THE TRIBARYON SYSTEM

The possibility that the tribaryons including ³He and ³H belong to an SU(3) 35 dimensional irreducible representation is suggested.We calculate the wave functions and the branching ration of the 35-plet of the tribaryons.The mass relations of the tribaryons in multiplet are obtained.The possible tribaryon states are predicted.     

THE PHASE TRANSITION FROM THE "ROTATION" TO VIBRATION SPECTRA IN THE LIPKIN SU(2) MODEL

The collective monopole excitation spectra of the Lipkin SU(2) model aresolveaexactly in the truncated monopole phonon representation and also approximately in the continuous variable representation. The transition from the "rotation" to vibration spectra for lowly-lying exclted states with the increase of the particle number in the upper level and the disappearance of the monopole "deformation" with the increase of the excitation energy are exhibited. The origin of these phase transitions is explained and the shape transition of real nuclei with the number of valence nucleons i s briefly discussed.     

PHASE STRUCTURE OF THE SU(2)-SO(3) LATTICE SYSTEM IN AN IMPROVED VARIATIONAL APPROACH

An improved trial action in the variational approach of the lattice gauge field theory is in-troduced to acquire better lower bound for the convexity Inequality and used to calculate the phase structure of the SU(2)-SO(3) pure gauge system. The improvement is seen in comparing the old and new variational results with that by the Monte Carlo simulation.     

SUPERSYMMETRIC SU(1|2) GAUDIN MODEL

In this paper, we propose a supersymmetric SU(1|2) Gaudin model and have derived its eigenvalues. We also present the well-defined eigenstates through the quasi-classical limit of the eigenstates in the supersymmetric t-J model.     

TRIGONOMETRIC SU(N) GAUDIN MODEL

In this paper, we obtain the eigenstates and the eigenvalues of the Hamiltonians of the trigonometric SU(N) Gaudin model based on the quasi-classical limit of the trigonometric SU(N) chain with the periodic boundary condition. By using the quantum inverse scattering method, we also obtain the eigenvalues of the generating function of the trigonometric SU(N) Gaudin model.     

依赖于时间的Jaynes-Cummings模型中的反聚束效应

利用龙格一库塔数值技术对多个方程组连续进行积分,提出了一种处理依赖于时间的Jaynes-Cummings模型的普遍方法.并用它来研究一个二能级原子与腔场的相互作用.在不同时间脉冲宽度和不同失谐量的情况下,讨论了光子二阶关联函数随时间的演化过程.最后讨论此方法在强场情况的适用性问题.     

Hubbard-Hirsch模型中的电子相关效应

基于同一格点的电子相关，把局域方法用于Ｈｕｂｂａｒｄ－Ｈｉｒｓｃｈ模型铁磁相。在二阶计算中使用Ｒ＝０，ａ近似，仔细研究了电子相关效应对基态相图的影响．由于计及了密度矩阵非对角元，其影响与Ｒ＝０近似相比变弱。     

THE ANALYTICAL RESULT OF THE EFFECT OF THE VIRTUAL QUARK LOOPS TO SU(2) AVERAGE PLAQUETTE ENERGY

By using hopping parameter expansion and cumulant expansion, as an example, we calculate analytically the effect of fermion determinant to average plaquette energy < E_p > up to k⁶ order. The corrections of the fermion determinant to < E_p > are controllable small in our approximation.     

SU(2)格点规范理论SIN作用量在有限温度下的解除禁闭的相变

我们对SU(2)群格点规范理论的Sinl-Sin((1/2)T_rU_p)作用量做了有限温度下的Monte Carlo计算,观察到一个高温下解除禁闭的相变。临界点是Tc≈334±40Mev,这与使用Wilson作用量及其它类型作用量所得结果可以相容。     

Hubbard—Hirsch模型中的电子相关效应

基于同一格点的电子相关，把局域方法用于Ｈｕｂｂａｒｄ－Ｈｉｒｓｃｈ模型铁磁相。在二阶计算中使用Ｒ＝０，ａ近似，仔细研究了电子相关效应对基态相图的影响．由于计及了密度矩阵非对角元，其影响与Ｒ＝０近似相比变弱。     

二能级原子的混态SU(2)压缩

本文采用时间演化算符方法研究混态下二能级原子的SU(2)压缩行为,得出有光场相互作用下的混态原子的压缩比一般纯态原子算符的SU(2)压缩还要深,而且处于准基态下比在准激发态下的压缩要深得多的新结果。通过数值计算,讨论了原子能级布居的统计几率与压缩的关系。     

SU(6)对称性理论中的弱相互作用

本文提出了SU(6)对称性理论中的一个弱相互作用中间玻色子方案。基本假定是:(1)中间玻色子归为SU(6)群的不可约表示21;(2)弱流归为正规表示35;从而(3)s波及p波半弱相互作用分别归为表示21中的(3^*,1)部分及表示15中的(3^*,3)部分。则除了△I=1/2规则以外,由此得出的有效超子非轻子作用在s波(宇称破坏)振幅都分给出三个求和规则,在p波(宇称守恒)振幅部分给出一个求和规则,这些关系看来和实验符合得较好。     

群表示论的物理方法(Ⅴ)——SU3?SO3和SU4?SU2×SU2分类基

本文给出了核物理中常用的SU₃?SO₃(f=1—6)和SU₄?SU₂×SU₂波函数在Gelfand表象中的展开系数。 关键词：     

THE VARIATIONAL CALCULATION OF MASS GAP IN 2+1 DIMENSIONAL SU(2) LGT

A variational calculation of the mass gap in 2+1 dimensional SU(2) lattice gauge theory by using a Hamiltonian which possesses exact ground state and correct continuum limit is made.In the range 1.3≤1/g²≤7,a good scaling behaviour am=2.28g² is obtained,which is in agreement with weak-coupling perturbation theory and the results obtained by another Hamiltonian which does not possess correct continuum limit.     

Asymptotically free SU(2) × SU(2) × SU(4) model of unified interaction

An asymptotically free SU(2) × SU(2) × SU(4) model of unified interaction is constructed. The gauge coupling constants are taken equal (in the order of magnitude) to the electromagnetic one. The strong interaction and the quark confinement is provided for by a gluonic mechanism. Some physical consequence of the model are briefly discussed.     

n分量φ4模型薄膜的尺寸效应

我们用场论重整化群方法讨论了周期边界的n分量φ⁴模型薄膜的单纯尺寸效应,发现仅当维数满足d_<+1>时尺寸效应具有Fisher的标度形式,其他情况下它是不可标度的。同时也讨论了维数渡越现象及状态方程。 关键词：     

THE EVIDENCE OF DECONFINEMENT PHASE TRANSITION OF SU(2) LATTICE GAUGE MODEL BY MONTE CARLO METHOD

In this paper,we have calculated the SU(2) lattice gauge by the Monte Carlo method.For the finite temperature problem 8³×4 lattice is used and for the zero temperature problem 8⁴ lattice.From the calculations of the energy density,heat capacity and entropy density,the results indicate that there is a deconfinement phase transition when T/Λ_L=40—50.     

THE MASS GAP IN 2+1 DIMENSIONAL SU(3) LATTICE CAUGE THEORY

We present a variational calculation of C=+1 and C=－1 glueball masses in 2+1 dimensional SU(3) lattice gauge theory using a Hamiltonian in which the ground state is exactly known.In the range 0<1/g²≤6,we obtain good scaling behaviour am₊=36.1g² and am_－=5.98g².     

SU(10)手征亚夸克大统一模型

本文在一些条件的限制下,讨论了SU(N)手征亚夸克大统一模型,结果要求10≤N≤19。并具体地构造了一个最小的SU(10)手征亚夸克大统一模型,预言了五代夸克和轻子的存在。 关键词：